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Finding the Fourth Proportional to 598.45, 826.13 and 402.07

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Solution

The fourth proportional to 598.45, 826.13 and 402.07 is: 555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.45 : 826.13 = 402.07 : x
  2. Step 2: Convert to fraction form
    598.45/826.13 = 402.07/x
  3. Step 3: Cross multiply
    598.45x = 826.13 × 402.07
  4. Step 4: Simplify right side
    598.45x = 332,162.09
  5. Step 5: Solve for x
    x = 332,162.09/598.45
  6. Step 6: Final answer
    x = 555.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.